Answer:
Simple random sampling
Step-by-step explanation:
From the sampling description explained above, the sampling method used is a simple random sampling method whereby a small subset or group is chosen from a larger set or population with all individuals in the population having exactly equal chance. The entire sample during a simple random sampling does not have to partitioned or subdivided into groups or subgroups. All individual samples are entirely sampled together with all having the sample probability of being chosen. This way the samples are representative of the entire population. All students in the scenario were sampled with any subdivision. Hence, we have a simple random sampling method.
find the value of the angle rounded to 1 DP
Answer:
57.2°
Step-by-step explanation:
sin 26° = x/19
x = 8.329051789
[tex]sin^{-1}[/tex] (7 / 8.329051789)
13. Jimmy is writing a paper for one of his classes. The paper has to be 3,000 words
long, and so far he has written 696 words. If he only has 6 more days to write
his paper and wants to write the same number of words each day, then how
many words must he write per day to finish the paper?
Answer:
384 words per day
Step-by-step explanation:
If he already wrote 696 words out of 3,000 words, then he has another 2,304 words left to write. To know how many words he needs to write each day for the next 6 days, then we need to divide 2,304 words by 6. The quotient thus becomes 384 words.
Answer:
384 words per day
Step-by-step explanation:
3000-696=2304
So 2304 divided by 6 =348
can someone please help
Answer:
x = 13
Step-by-step explanation:
→ Remember the amount of degrees a triangle sums to
180°
→ Make an equation
8x - 44 + 8x - 44 + 8x - 44 = 180
→ Simplify
24x - 132 = 180
→ Add 132 to both sides
24x = 312
→ Divide both sides by 24
x = 13
what is the area of a rectangle with side lengths 3 inches by 5 inches
Answer:
15 inches
Step-by-step explanation:
The formula for the area of a rectangle is base times height so 3*5 which equals 15
A. Y SO
OB. X30
C. All real numbers
D.x20
CAN SOMEBODY PLEASE HELP!!
POSSIBLE POLYGONS Determine if it is possible for a regular polygon to have an interior angle with the given angle measure. Explain your reasoning a. 165 b. 171 c. 75 d. 40
Answer:
yes for all 4.
Step-by-step explanation:
I am not sure I see the whole information.
but if the question truly is simply, whether a polygon can have an internal angle of 165 or 171 or 75 or 40 degrees, then the answer is a resounding yes to all 4.
the simplest polygon is a triangle.
the sum of all angles in a triangle is always 180 degrees.
so, any angle smaller than 180 degrees is a possible internal angle in a triangle (and therefore in polygons in general), because the difference to 180 can then be split into 2 angles (e.g. half/half).
so, if one angle is 165 degrees, then the other two angles have to have 15 degrees together (e.g. 10 and 5, or 7 and 8, or 2 and 13, or ...). they will be narrow angles, but they are still angles.
similar for 171 degrees. now the other two angles have to have only 9 degrees together. like 5 and 4.
for 75 degrees the other two angles must have 180-75 = 105 degrees together. like 20 and 85.
for 40 degrees the other two angles must have 180-40 = 140 degrees together. like 90 and 50.
First, find the surface area of the yellow prism
Check the picture below. Notice, we're skipping the bottom part of it.
[tex]\begin{array}{llll} front&4\cdot 3&=&12\\ back&4\cdot 3&=&12\\ right&3\cdot 4&=&12\\ left&3\cdot 4&=&12\\ top&3\cdot 3&=&9\\ \cline{1-4} total&&&57 \end{array}[/tex]
Country Day's scholarship fund receives a gift of $ 185000. The money is invested in stocks, bonds, and CDs. CDs pay 4.75 % interest, bonds pay 3.3 % interest, and stocks pay 7.5 % interest. Country day invests $ 20000 more in bonds than in CDs. If the annual income from the investments is $ 9560 , how much was invested in each vehicle?
Answer:
$65,000 was invested in stocks, $ 50,000 in CDs and $ 70,000 in bonds.
Step-by-step explanation:
Since Country Day's scholarship fund receives a gift of $ 185000, and the money is invested in stocks, bonds, and CDs, and CDs pay 4.75% interest, bonds pay 3.3% interest, and stocks pay 7.5% interest, and Country day invests $ 20000 more in bonds than in CDs, if the annual income from the investments is $ 9560, to determine how much was invested in each vehicle, the following calculation must be performed:
55000 x 0.075 + 55000 x 0.0475 + 75000 x 0.033 = 9,212.5
57000 x 0.075 + 54000 x 0.0475 + 74000 x 0.033 = 9,282
65000 x 0.075 + 50000 x 0.0475 + 70000 x 0.033 = 9,560
Therefore, $ 65,000 was invested in stocks, $ 50,000 in CDs and $ 70,000 in bonds.
Two linear equations have the same y-intercept and different slopes. How would you
classify the system?
The slope of a function determines the consistency in the functions.
What is the slope of the function?The slope of the function is the change in y /change in x .
How would you classify the system?The slope of the function determines the change in the value of the function. It determines the consistency of the function. If the slope of the function is changing rapidly then it is said to be inconsistent but if the slopes of the function is not changing rapidly then it is said to be consistent.
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Which theorem is not a valid theorem to show that two triangles are congruent? Which theorem is not a valid theorem to show that two triangles are congruent?
Answer:
SSA theorem
Step-by-step explanation:
Given
(a) SSA (b) ASA (c) SAS (d) SSS
Required
Which cannot be used to prove congruence of triangles
In proving the congruence of two or more triangles, the following postulates or theorem are valid and can be used:
ASA, SAS, SSS
The SSA theorem/postulate relies on other postulates and as such, it does not prove congruence on its own.
PLEASE HELP ASAP ILL MARK BRAINLIEST.!!!
i only need these 2 and I’m done with math.!!!
Answer:
663902.4
11 pavers
Step-by-step explanation:
V = l × w × h
V = 164 × 82 × 6.6
V =
**********************************
The Swimming pool is a
rectangular prism. Write
the formula for its volume
and calculate it.
l...length of this prism
w...width of this prism
h...height of this prism
V ...volume
*********************************
To know how many
gallons are in the pool,
multiply the volume by
the number of gallons
in gal...number of
gallons
********************************
gal = 88757 × 7.48
gal = 663902.4
********************************
First to not confuse
anybody on this, we need
to convert the meters into
centimeters.
Rule: 1 m = 100 cm
3 m = 300 cm
2.5 m = 250 cm
********************************
so for every meter, we
multiply 100 to get the
amount of centimeters
********************************
so then add the
centimeters of 3 m and
2.5 m
Answer: 550 cm
so then now compare
the measurings...
3 m = 300 cm
50cm × y = 300cm
50cm × 6 = 300cm
y = 6
2.5 m = 250 cm
50cm × y = 250cm
50cm × 5 = 250cm
y = 5
6 + 5 = 11 pavers
so Oliver will need 11 pavers
Which expression is the same as 1 ten, 3 ones, and 9 thousandths?
Choose 1 answer:
Answer:
"B"
Step-by-step explanation:
Which list of numbers can be described by the following rule?
A. 33,49,67
B.65,49,33
C.33,49,65
D.65,48,33
Explanation:
first term = 33
second term = first term + 16 = 33+16 = 49
third term = second term + 16 = 49+16 = 65
We're adding 16 to each term to get the next term.
Answer:
c is correct
mark as brainiest please
help me plss if you see this help i have a short time or this for will close
Answer:
Value of x will be 12.
Step-by-step explanation:
How do you solve this??
Answer:
[tex]a_n=-\frac{9}{4} +\frac{1}{4} *n; \ a_{45}=9.[/tex]
Step-by-step explanation:
1. the difference between two sequent term is: 2- 7/4=7/4 - 3/2 = 3/2 - 5/4=... = 1/4.
2. using the value of the calculated difference it is possible to make up the formula of the given sequence ('n' - the number of term):
[tex]a_n=-\frac{9}{4}+\frac{1}{4} n.[/tex]
3. for n=45:
[tex]a_{45}=-\frac{9}{4}+45*\frac{1}{4}=9.[/tex]
Which sequence is arithmetic?
I WILL GIVE BRAINIEST JUST PLEASE ANSWER THIS IM ON A TEST ;-;
Answer:
a)Fourth coordinate (- 4 , 1 )
b)Dimension : 6 unit by 3 unit
c)Area = 18 square units
Step-by-step explanation:
Given coordinates A = ( 2 , 1) , B = ( 2 , 4 ) , C= ( -4 , 4)
Find D.
Let D = (x , y)
For a rectangle, mid point of diagonal are same.
[tex]Mid - point \ of \ AC = ( \frac{2-4}{2}, \frac{4+1}{2}) = (-1, 2.5)\\\\Mid - point \ of \ BD = ( \frac{x+2}{2}, \frac{y+4}{2} )[/tex]
Since mid-points are same. Equate :
[tex]\frac{x+2}{2} = -1\\\\x+2 = -2\\\\x = -4[/tex]
[tex]\frac{y+4}{2} = 2.5\\\\y + 4 = 5\\\\y = 1[/tex]
a)
Therefore, D = ( -4, 1)
Since parallel sides of a rectangle are the same.
We will find the length of the sides using distance formula.
Distance between ( 2, 1 ) and ( 2, 4)
[tex]Distance_{AB} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2-2)^2 + (4-1)^2 } = \sqrt{9} = 3[/tex]
AB = 3
Distance between ( 2 , 4 ) and ( -4 , 4)
[tex]Distance_{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2--4)^2 + (4-4)^2 } = \sqrt{36} = 6[/tex]
BC= 6
CD is parallel to AB , therefore CD = 3
AD is parallel to BC, therefore AD = 6
b) Dimensions : length = 6 , breadth = 3
c) Area = Length x Breadth
= 6 x 3
= 18 square units
A school raises £468 for their chosen charity by dressing up.Tge money raised is increased by 42% by holding a cake sale.The headtheacher makes up the total sum to £700.How much does the headteacher donate?
Answer:
35.44
Step-by-step explanation:
(1 +.42)*468 = 664.56
if you add 35.44 you would have 700
11. Find the area of each figure. Show all your calculations a. 3 cm 13 cm
Answer:
[tex]39[/tex]
Step-by-step explanation:
[tex]A=lw[/tex]
Area = length * width
[tex]A = 3 * 13[/tex]
[tex]A=39[/tex]
Hope this helps
what is seven million written as numeral?
Answer: 7,000,000
A million= six zeroes
Ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions
Each place value represents an additional zero
which is the value of x in the equation-3/4 = x/24 A. -32 B. -18 C. 18 D. 32
Answer:
-18 =x
Step-by-step explanation:
-3/4 = x/24
Using cross products
-3*24 = 4*x
-72 = 4x
Divide each side by 4
-72/4 = 4x/4
-18 =x
Answer:
B. -18
Step-by-step explanation:
-3/4 = x / 24solve the proportion using cross multiplication
-3 × 24 = 4 × x-72 = 4xswap the side
4x = -72divide both side by 4
4x / 4 = -72/4x = - 18complete the table
mark brainliest
Answer:
[tex]= \frac{333}{500}[/tex]
Step-by-step explanation:
66.6% = [tex]\frac{66.6}{100}= \frac{33.3}{50}= \frac{33.3*10}{50*10}\\\\\\[/tex]
[tex]= \frac{333}{500}[/tex]
Solve for x. Enter your answer below as a fraction in lowest terms, using the
slash (/) as the fraction bar.
x + 9/20 = 9/16
Answer:
x = [tex]\frac{9}{80}[/tex]
Step-by-step explanation:
Given
x + [tex]\frac{9}{20}[/tex] = [tex]\frac{9}{16}[/tex]
Multiply through by 80 ( the LCM of 20 and 16 ) to clear the fractions
80x + 36 = 45 ( subtract 36 from both sides )
80x = 9 ( divide both sides by 80 )
x = [tex]\frac{9}{80}[/tex]
Please help. I completely forgot what to do ahh. If anyone knows, please let me know :(
A rectangle has a perimeter of `52` cm. Its width is `9` cm.
what is the length of the rectangle
Answer:
The length is 17 cm.
17+17+9+9 adds up to 52.
I need this rn can someone pls help me
Answer:
[tex]V=2080m^3[/tex]
Step-by-step explanation:
The volume formula for triangular prism is [tex]V=\frac{1}{2}bhl[/tex]
[tex]V=\frac{1}{2}(26)(20)(8)[/tex]
[tex]V=\frac{1}{2}(4160)[/tex]
[tex]V=2080[/tex]
Hope this helps
Answer:
The answer is 2080m^3
Step-by-step explanation:
The formula for volume of a prism is 1/2 x length x width x height
Hope it helps :)
A room has a length of 12 metres and width of 5 metres. What is the area of the room?
Working out please
Answer:
60 sq.mStep-by-step explanation:
Given,
Length of the room = 12m
Width of the room = 5m
Therefore,
Area of the room = l × w
= 12m × 5m
= 60 sq.m (Ans)
Enter the equation of the line in slope-intercept form.
Slope is -5, and (7,4) is on the line.
The equation of the line is
Answer:
[tex]y=-5x+39[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)
1) Plug in the slope (m)
[tex]y=mx+b[/tex]
Plug in the slope -5
[tex]y=-5x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-5x+b[/tex]
Plug in the given point (7,4) and solve for b
[tex]4=-5(7)+b\\4=-35+b[/tex]
Add 35 to both sides to isolate b
[tex]4+35=-35+b+35\\39=b[/tex]
Therefore, the y-intercept is 39. Plug this back into [tex]y=-5x+b[/tex]:
[tex]y=-5x+39[/tex]
I hope this helps!
a. 145
b.35
c.135
d.45
Answer:
a.) 145°
Step-by-step explanation:
First, we need to understand that ∠5 = ∠4 because they are alternate interior angles, therefore, ∠5 = 35°. Then since ∠5 and ∠6 are supplementary angles, we know that ∠5 + ∠6 = 180°, therefore ∠6 = 180° - ∠5 = 180° - 35° = 145°. Now we need to understand that ∠6 and ∠7 are vertical angles, therefore they are equal to each other, so now we know that the right answer is a.) ∠7 = 145°.
PLEASE HELP
How many different outcomes are possible when 10 people race, assuming no one can tie?
The number of the outcomes will be 10 if there is not any tie.
What is the combination?
The arrangement of the different things or numbers in a number of ways is called the combination.
Here we need to find the outcomes of the winning of 10 people the combination will be:-
[tex]^{10} C _1=\dfrac{10!}{(10-1)!}=\dfrac{10!}{9!}\\\\\\^{10} C _1 = 10[/tex]
Hence the number of the outcomes will be 10 if there is not any tie.
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